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Finding the Third Proportional to 436,560 and 674,304

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Solution

The third proportional to 436,560 and 674,304 is: 1,041,519.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,560 : 674,304 = 674,304 : x
  2. Step 2: Convert to fraction form
    436,560/674,304 = 674,304/x
  3. Step 3: Cross multiply
    436,560x = 674,304 × 674,304
  4. Step 4: Simplify right side
    436,560x = 454,685,884,416
  5. Step 5: Solve for x
    x = 454,685,884,416/436,560
  6. Step 6: Final answer
    x = 1,041,519.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.